Stochastic Selection of Cosmological Constant in Chaotic Inflation: A String Theory Landscape Approach

Empirical Conclusion

1. Current Data

   - Planck's limit does not rule out the model, but it also does not provide strong confirmation.  

2. Future Experiments 

   - LiteBIRD/SKA/CMB-S4 will test the model's unique predictions:  

     - \( r \sim 0.003 \),  

     - \( f_{\text{NL}} \sim \mathcal{O}(1) \),  

     - Large scale anomalies in the distribution of galaxies.  

3. Implications

   - If all signatures are detected, a string theory + multiverse based inflation model would be a strong candidate to explain the fine-tuning of \( \Lambda \).  

Key Reference